来自刘自忠的问题
数学速算巧算TAT1/8+1/24+1/48+.+1/360
数学速算巧算TAT
1/8+1/24+1/48+.+1/360
1回答
2020-04-26 17:24
数学速算巧算TAT1/8+1/24+1/48+.+1/360
数学速算巧算TAT
1/8+1/24+1/48+.+1/360
=1/2*4+1/4*6+1/6*8+……+1/18*20
=(1/2)*(1/2-1/4+1/4-1/6+1/6-1/8+……+1/18-1/20)
=(1/2)*(1/2-1/20)
=9/40